Suppose that the speed at which cars go on the freeway is normally distributed with mean 78 mph and standard deviation 9 miles per hour. Let X be the speed for a randomly selected car. a. What is the distribution of X? X - N( b. If one car is randomly chosen, find the probability that it is traveling more than 75 mph. Round to 4 decumal places. c. If one of the cars is randomly chosen, find the probability that it is traveling between 81 and 87 mph. Round to 4 decimal places.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Suppose that the speed at which cars go on the freeway is normally distributed with mean 78 mph and
standard deviation 9 miles per hour. Let X be the speed for a randomly selected car.
a. What is the distribution of X? X N(
b. If one car is randomly chosen, find the probability that it is traveling more than 75 mph. Round to 4
decumal places.
c. If one of the cars is randomly chosen, find the probability that it is traveling between 81 and 87 mph. Round
to 4 decimal places.
Transcribed Image Text:Suppose that the speed at which cars go on the freeway is normally distributed with mean 78 mph and standard deviation 9 miles per hour. Let X be the speed for a randomly selected car. a. What is the distribution of X? X N( b. If one car is randomly chosen, find the probability that it is traveling more than 75 mph. Round to 4 decumal places. c. If one of the cars is randomly chosen, find the probability that it is traveling between 81 and 87 mph. Round to 4 decimal places.
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